Generalised non-dimensional multi-parametric involute spur gear design model considering manufacturability and geometrical compatibility

Amani, Amin; Spitas, Christos; Spitas, Vasilios

doi:10.1016/j.mechmachtheory.2016.11.012

Cited by 9 publications

(9 citation statements)

References 91 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…expressing size magnitudes in relation to the module and load and stress magnitudes in relation to a given test case or design load. 26 Geometrically precise models of the spur gear and pinion of the system (including crowing, where applicable) were constructed on the KissSoft platform, using the following parameters: m= 5.5 mm, a0= 20°, z1= 25, z2= 15, a12= 110 mm (nominal), w= 34 mm. Based on the KissSoft analysis, the design load (input torque) was calculated at 350 Nm.…”

Section: Designmentioning

confidence: 99%

Analysis of a misalignment-insensitive spur gear transmission using a Rzeppa joint

Galym

Spitas

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

The design of a novel gear system based on a Rzeppa joint internal interface is presented and analysed. The joint allows the transmission of torque loads while allowing real-time re-alignment of the gear to eliminate non-torque loads arising from misalignment. This gear, when part of a misaligned pair, is shown by means of quasi-static FE simulations to remain essentially under the same stress conditions, even when under considerable misalignment, and to outperform crowned gears. The trade-off is increased contact stress at the ball elements of the joint interface. In addition, the mesh stiffness for the conventional and the novel design are estimated, showing that the proposed design produces a lower but nearly constant stiffness throughout the mesh cycle.

show abstract

Section: Designmentioning

confidence: 99%

Analysis of a misalignment-insensitive spur gear transmission using a Rzeppa joint

Galym

Spitas

2020

Proceedings of the Institution of Mechanical Engineers, Part C:

View full text Add to dashboard Cite

show abstract

“…The application adopted standard modules and pressure angles as published by American Gear Manufacturers Association (AGMA). The same module and pressure angle were used for both pinion and gear wheels because standardised cutting tools are available for such gear teeth geometry [5].…”

Section: Design and Modeling Parametersmentioning

confidence: 99%

“…Gears are generally the most rugged and durable machine elements for transmitting mechanical power [3,4]. In particular, involute gears are mission critical and indispensable elements in the design of motion and power transmission applications [5]. Such applications include external gear pump [6], wrist mechanism of a spherical parallel manipulator [7], automobile and aircraft power transmissions and more.…”

Section: Introductionmentioning

confidence: 99%

“…However, gear design is a very complicated process [8,5]. The complexity is not unconnected with the combined basic design requirements imposed by the fundamental law of gearing, the kinematics of the gear tooth profile, the variable loading of gear tooth, the joint rolling and sliding contact between curved tooth surfaces, and the gear interaction with other machine elements [9].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Modeling of the kinematic geometry of spur gears using matlab

et al. 2018

View full text Add to dashboard Cite

The analytical method of gear design is calculation-intensive and it is usually difficult to achieve optimum backlash and interference-free involute profile that are required to generate geometrical compatibility in a pair of meshing gears when design procedure is entirely based on this method. Some amount of backlash is often required in the assembly of gears but excess backlash can lead to increase vibration and wear of the gear assembly. Also, interference-risk profile can result in undercutting of gear tooth. This paper optimized a spur external involute-profile gear by developing an application for the modeling of its geometrical compatibility using Matlab®. The application uses existing models to test for interference and a proposed model to determine effective backlash in a gear. The backlash values resulting from the application are more confined and the model is applicable to a wider range of modules suggested by American Gear Manufacturers Association. Simulation of the gear-set in Solidworks® for kinematic geometry presents an interference-free tooth contour and an effective backlash.

show abstract

“…Amania et al, 2017 [3] performed an independent investigation of tip pointing and undercutting conditions. A non-dimensional DOI 10.2478/ama-2022-0001 Determination of Hydrodynamic Power Losses in A Gearing 2 methodology was introduced, and the order of the multiparametric problem was reduced.…”

Section: Introductionmentioning

confidence: 99%

Determination of Hydrodynamic Power Losses in a Gearing

Stavytskyi

Башта

Носко

et al. 2022

Acta Mechanica Et Automatica

View full text Add to dashboard Cite

Despite the relatively numerous experimental studies, there are few published works on the topic of development of mathematical models that describe the hydrodynamic processes in gears. There is no generic analytical model that integrates all types of losses. The purpose of this work is to develop a modern generalised methodology for calculating the hydrodynamic power losses of high-speed gears. For each gear, partially or fully immersed into an oil bath, the power spent to overcome the hydromechanical resistance can be represented as the sum of the following: the Coriolis force moment arising from the radial movement of the oil in the tooth spaces of the rotating gear, the viscous friction forces moment on the periphery of the gear addendums in the oil bath and the viscous friction forces moment at the face of the gear in the oil bath. The hydrodynamic power losses due to the Coriolis force action, viscosity friction losses at the periphery of the gear and the viscosity friction at the face of the gear (both turbulent and laminar modes) were observed separately. From the mathematical simulation of the rotation processes when the gear is immersed into the oil bath, an analytical dependence was obtained. It allows predicting the influence of the geometrical parameters of the gearing on the hydrodynamic power losses. Analysis of the calculation results of the power losses due to the action of hydraulic resistance forces and results from experimental studies is provided for several gears with different hydromechanical parameters. The proposed method of calculating power loss due to hydromechanical resistance of the oil bath to the rotation of the gear gave results that were close to the experimental data. Acceptable coincidence of theoretical and experimental results allows recommending the received analytical dependencies for practical calculations of high-speed gears.

show abstract

Generalised non-dimensional multi-parametric involute spur gear design model considering manufacturability and geometrical compatibility

Cited by 9 publications

References 91 publications

Analysis of a misalignment-insensitive spur gear transmission using a Rzeppa joint

Analysis of a misalignment-insensitive spur gear transmission using a Rzeppa joint

Modeling of the kinematic geometry of spur gears using matlab

Determination of Hydrodynamic Power Losses in a Gearing

Contact Info

Product

Resources

About